Question

There is 1.4 ounces of juice in 7 in3 of tangerines. If you have a sack of tangerines which each have a diameter of 2 inches, approximately how many tangerines do you need to make a 7 ounce glass of juice? (round to nearest whole number)

Please help someone! >-<

Answer 1

8 tangerines are required

Explanation:

1.4 ounces of juice requires
`7\text{ }in^(3)` of tangerines. Tangerines have a diameter of
`2\text{ }in`.

We need to make a 7 ounce glass of juice. So by simple calculation, we can infer that we need
`(7)/(1.4)* 7=35\text{ }in^(3)` of tangerines.

`\text{Volume of tangerines required = (Number of tangerines)}* \text{(Volume of each tangerine)}`

Volume of each tangerine =
`(\pi d^(3))/(6)=(\pi (2)^(3))/(6) =(4\pi )/(3)\text{ }in^(3)`

Number of tangerines required =
`\frac{\text{Volume of tangerines required}}{\text{Volume of each tangerine}}=(35)/((4\pi)/(3))=(105)/(4\pi)=8.355`

∴ We require 8 tangerines